This is the Canticle of the Blessed Virgin Mary, traditionally sung at Vespers/Evening Prayer:
Magnificat anima mea Dominum,
Et exultavit spiritus meus in Deo salvatore meo,
Quia respexit humilitatem ancillae suae:
Ecce enim ex hoc beatam me dicent omnes generationes,
Quia fecit mihi magna, qui potens est: et sanctum nomen eius,
Et misericordia eius in progenies et progenies timentibus eum.
Fecit potentiam in brachio suo: dispersit superbos mente cordis sui;
Deposuit potentes de sede et exaltavit humiles
Esurientes implevit bonis: et divites dimisit inanes.
Suscepit Israel puerum suum: recordatus misericordiæ suæ,
Sicut locutus est ad patres nostros: Abraham et semini eius in sæcula.
Gloria Patri, et Filio, et Spiritui Sancto,: sicut erat in principio, Et nunc, et semper: et in sæcula sæculorum. Amen.
Here is a chanted recording of this Latin text.
Μεγαλύνει ἡ ψυχή μου τὸν Κύριον καὶ ἠγαλλίασεν τὸ πνεῦμά μου ἐπὶ τῷ Θεῷ τῷ σωτῆρί μου,
ὅτι ἐπέβλεψεν ἐπὶ τὴν ταπείνωσιν τῆς δούλης αὐτοῦ. ἰδοὺ γὰρ ἀπὸ τοῦ νῦν μακαριοῦσίν με πᾶσαι αἱ γενεαί,
ὅτι ἐποίησέν μοι μεγάλα ὁ δυνατός, καὶ ἅγιον τὸ ὄνομα αὐτοῦ, καὶ τὸ ἔλεος αὐτοῦ εἰς γενεὰς καὶ γενεὰς τοῖς φοβουμένοις αὐτόν.
Ἐποίησεν κράτος ἐν βραχίονι αὐτοῦ, διεσκόρπισεν ὑπερηφάνους διανοίᾳ καρδίας αὐτῶν·
καθεῖλεν δυνάστας ἀπὸ θρόνων καὶ ὕψωσεν ταπεινούς, πεινῶντας ἐνέπλησεν ἀγαθῶν καὶ πλουτοῦντας ἐξαπέστειλεν κενούς.
ἀντελάβετο Ἰσραὴλ παιδὸς αὐτοῦ, μνησθῆναι ἐλέους, καθὼς ἐλάλησεν πρὸς τοὺς πατέρας ἡμῶν τῷ Αβραὰμ καὶ τῷ σπέρματι αὐτοῦ εἰς τὸν αἰῶνα.
Here is a chanted recording of this Greek text.
English (Douai Reims Translation):
My soul doth magnify the Lord.
And my spirit hath rejoiced in God my Saviour.
Because he hath regarded the humility of his handmaid; for behold from henceforth all generations shall call me blessed.
Because he that is mighty, hath done great things to me; and holy is his name.
And his mercy is from generation unto generations, to them that fear him.
He hath shewed might in his arm: he hath scattered the proud in the conceit of their heart.
He hath put down the mighty from their seat, and hath exalted the humble.
He hath filled the hungry with good things; and the rich he hath sent empty away.
He hath received Israel his servant, being mindful of his mercy:
As he spoke to our fathers, to Abraham and to his seed for ever.
Glory be to the Father, and to the Son, and to the Holy Spirit: as it was in the beginning, is now, and ever shall be, world without end. Amen.
Here is a chanted version of the Magnificat in English.